i-FunBox - General file management software for iPhone and other Apple products
Touch Copy - TouchCopy allows you to transfer all your iPhone content back to your PC or a Mac. You can backup your Music, Photos, Videos Contacts and other media from your iPhone, iPad or iPod, as well as save and print your iPhone Messages.
iMazing - iMazing lets you transfer music, files, messages, apps and more from any iPhone, iPad, or iPod to a computer, Mac or PC. Manage and backup your iOS device simply without iTunes. (was DiskAid)
Apeaksoft iPhone Transfer - Apeaksoft iPhone Transfer for Mac provides the best solution for users to back up messages, contacts, photos, music, videos and more between iOS device and Mac or between two iOS devices. It supports almost all iOS devices.
iExplorer - iExplorer lets you easily transfer music, playlists, text messages, files and more from any iPhone, iPod, or iPad to a Mac or Windows computer and iTunes.
CopyTrans - CopyTrans is a tool for managing the files on your iPhone or iPad through your computer's interface.